All Outputs (126)

The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces (2019)
Journal Article
Muga, I., Tyler, M. J., & van der Zee, K. G. (2019). The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces. Computational Methods in Applied Mathematics, 19(3), 557-579. https://doi.org/10.1515/cmam-2018-0199

© 2019 Walter de Gruyter GmbH, Berlin/Boston 2019. We propose and analyze a minimal-residual method in discrete dual norms for approximating the solution of the advection-reaction equation in a weak Banach-space setting. The weak formulation allows f... Read More about The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces.

The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin’s Method (2019)
Journal Article
Houston, P., Muga, I., Roggendorf, S., & van der Zee, K. (2019). The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin’s Method. Computational Methods in Applied Mathematics, 19(3), 503-522. https://doi.org/10.1515/cmam-2018-0198

While it is classical to consider the solution of the convection-diffusion-reaction equation in the Hilbert space H10(Ω), the Banach Sobolev space W1,q0(Ω), 1 less than ∞ , is more general allowing more irregular solutions. In this paper we present a... Read More about The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin’s Method.

Effects of Drive Amplitude on Continuous Jet Break-up (2019)
Journal Article
Mcilroy, C., & Harlen, O. G. (2019). Effects of Drive Amplitude on Continuous Jet Break-up. Physics of Fluids, 31(6), https://doi.org/10.1063/1.5099016

We develop a one-dimensional (1D) model of jet break-up in continuous inkjet printing to explore the non-linear behaviour caused by finite-amplitude modulations in the driving velocity, where jet stability deviates from classic (linear) 'Rayleigh' be... Read More about Effects of Drive Amplitude on Continuous Jet Break-up.

The role of soluble surfactants in the linear stability of two-layer flow in a channel (2019)
Journal Article
Kalogirou, A., & Blyth, M. G. (2019). The role of soluble surfactants in the linear stability of two-layer flow in a channel. Journal of Fluid Mechanics, 873, 18-48. https://doi.org/10.1017/jfm.2019.392

The linear stability of Couette-Poiseuille flow of two superposed fluid layers in a horizontal channel is considered. The lower fluid layer is populated with surfactants that appear either in the form of monomers or micelles and can also get adsorbed... Read More about The role of soluble surfactants in the linear stability of two-layer flow in a channel.

Mathematical modelling of contact dermatitis from nickel and chromium (2019)
Journal Article
Ward, J. P., Franks, S. J., Tindall, M. J., King, J. R., Curtis, A., & Evans, G. S. (2019). Mathematical modelling of contact dermatitis from nickel and chromium. Journal of Mathematical Biology, 79(2), 595-630. https://doi.org/10.1007/s00285-019-01371-2

Dermal exposure to metal allergens can lead to irritant and allergic contact dermatitis (ACD). In this paper we present a mathematical model of the absorption of metal ions, hexavalent chromium and nickel, into the viable epidermis and compare the lo... Read More about Mathematical modelling of contact dermatitis from nickel and chromium.

The correlation coefficient for vortices in the plane (2019)
Journal Article
Kurzke, M. (2019). The correlation coefficient for vortices in the plane. Journal of Mathematical Analysis and Applications, 479(1), 333-336. https://doi.org/10.1016/j.jmaa.2019.06.029

For point vortices in the plane, we consider the correlation coefficient of Ovchinnikov and Sigal. Generalising a result by Esposito, we show that it vanishes for all vortex equilibria.

Cellular uptake and efflux of palbociclib in vitro in single cell and spheroid models (2019)
Journal Article
Jove, M., Spencer, J. A., Hubbard, M. E., Holden, E. C., O'Dea, R. D., Brook, B. S., …Twelves, C. J. (2019). Cellular uptake and efflux of palbociclib in vitro in single cell and spheroid models. Journal of Pharmacology and Experimental Therapeutics, 370(2), 242-251. https://doi.org/10.1124/jpet.119.256693

Adequate drug distribution through tumors is essential for treatment to be effective. Palbociclib is a cyclin-dependent kinase 4/6 inhibitor approved for use in patients with hormone receptor positive, human epidermal growth factor receptor 2 negativ... Read More about Cellular uptake and efflux of palbociclib in vitro in single cell and spheroid models.

Selective recruitment of different Ca2+-dependent transcription factors by STIM1-Orai1 channel clusters (2019)
Journal Article
Lin, Y., Bakowski, D., Mirams, G. R., & Parekh, A. B. (2019). Selective recruitment of different Ca2+-dependent transcription factors by STIM1-Orai1 channel clusters. Nature Communications, 10(1), https://doi.org/10.1038/s41467-019-10329-3

© 2019, The Author(s). Store-operated Ca2+ entry, involving endoplasmic reticulum Ca2+ sensing STIM proteins and plasma membrane Orai1 channels, is a widespread and evolutionary conserved Ca2+ influx pathway. This form of Ca2+ influx occurs at discre... Read More about Selective recruitment of different Ca2+-dependent transcription factors by STIM1-Orai1 channel clusters.

Lacunarity of the zero crossings of Gaussian processes (2019)
Journal Article
Ogunshemi, A., Hopcraft, K. I., & Preston, S. P. (2019). Lacunarity of the zero crossings of Gaussian processes. Physical Review E, 99(6), Article 062109. https://doi.org/10.1103/physreve.99.062109

A lacunarity analysis of the zero-crossings derived from Gaussian stochastic processes with oscillatory autocorrelation functions is evaluated and reveals distinct multi-scaling signatures depending on the smoothness and degree of anti-correlation of... Read More about Lacunarity of the zero crossings of Gaussian processes.

Comodule algebras and 2-cocycles over the (Braided) Drinfeld double (2019)
Journal Article
Laugwitz, R. (2019). Comodule algebras and 2-cocycles over the (Braided) Drinfeld double. Communications in Contemporary Mathematics, 21(04), Article 1850045. https://doi.org/10.1142/S0219199718500451

We show that for dually paired bialgebras, every comodule algebra over one of the paired bialgebras gives a comodule algebra over their Drinfeld double via a crossed product construction. These constructions generalize to working with bialgebra objec... Read More about Comodule algebras and 2-cocycles over the (Braided) Drinfeld double.

Stable and unstable operations in algebraic cobordism (2019)
Journal Article
Alexander VISHIK, A. (2019). Stable and unstable operations in algebraic cobordism. Annales Scientifiques de l'École Normale Supérieure, 1(52), 561-630. https://doi.org/10.24033/asens.2393

© 2019 Société Mathématique de France. Tous droits réservés - We describe additive (unstable) operations from a theory A* obtained from the Levine-Morel algebraic cobordism by change of coefficients to any oriented cohomology theory B* (over a field... Read More about Stable and unstable operations in algebraic cobordism.

On a relationship between randomly and non-randomly thresholded empirical average excesses for heavy tails (2019)
Journal Article
Stupfler, G. (2019). On a relationship between randomly and non-randomly thresholded empirical average excesses for heavy tails. Extremes, 22(4), 749–769. https://doi.org/10.1007/s10687-019-00351-5

Motivated by theoretical similarities between the classical Hill estimator of the tail index of a heavy-tailed distribution and one of its pseudo-estimator versions featuring a non-random threshold, we show a novel asymptotic representation of a clas... Read More about On a relationship between randomly and non-randomly thresholded empirical average excesses for heavy tails.

Spectral estimators for finite non-commutative geometries (2019)
Journal Article
Barrett, J. W., Druce, P., & Glaser, L. (2019). Spectral estimators for finite non-commutative geometries. Journal of Physics A: Mathematical and Theoretical, 52(27), https://doi.org/10.1088/1751-8121/ab22f8

A finite non-commutative geometry consists of a fuzzy space together with a Dirac operator satisfying the axioms of a real spectral triple. This paper addreses the question of how to extract information about these geometries from the spectrum of the... Read More about Spectral estimators for finite non-commutative geometries.

Self-organised reactivation maintains and reinforces memories despite synaptic turnover (2019)
Journal Article
Fauth, M. J., & van Rossum, M. C. (2019). Self-organised reactivation maintains and reinforces memories despite synaptic turnover. eLife, 2019(8), https://doi.org/10.7554/eLife.43717

Long-term memories are believed to be stored in the synapses of cortical neuronal networks. However, recent experiments report continuous creation and removal of cortical synapses, which raises the question how memories can survive on such a variable... Read More about Self-organised reactivation maintains and reinforces memories despite synaptic turnover.

An efficient numerical algorithm for a multiphase tumour model (2019)
Journal Article
Alrehaili, A. H., Walkley, M. A., Jimack, P., & Hubbard, M. E. (2019). An efficient numerical algorithm for a multiphase tumour model. Computers and Mathematics with Applications, 78(8), 2734-2745. https://doi.org/10.1016/j.camwa.2019.04.017

© 2019 This paper is concerned with the development and application of optimally efficient numerical methods for the simulation of vascular tumour growth. This model used involves the flow and interaction of four different, but coupled, phases which... Read More about An efficient numerical algorithm for a multiphase tumour model.

A comparative study of estimation methods in quantum tomography (2019)
Journal Article
Acharya, A., Kypraios, T., & Guta, M. (2019). A comparative study of estimation methods in quantum tomography. Journal of Physics A: Mathematical and Theoretical, 52(23), 1-36. https://doi.org/10.1088/1751-8121/ab1958

As quantum tomography is becoming a key component of the quantum engineering toolbox, there is a need for a deeper understanding of the multitude of estimation methods available. Here we investigate and compare several such methods: maximum likelihoo... Read More about A comparative study of estimation methods in quantum tomography.

Higher Structures in Algebraic Quantum Field Theory: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory (2019)
Journal Article
Benini, M., & Schenkel, A. (2019). Higher Structures in Algebraic Quantum Field Theory: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory. Fortschritte der Physik / Progress of Physics, 67(8-9), 1-24. https://doi.org/10.1002/prop.201910015

A brief overview of the recent developments of operadic and higher categorical techniques in algebraic quantum field theory is given. The relevance of such mathematical structures for the description of gauge theories is discussed.

Effect of random forcing on fluid lubricated bearing (2019)
Journal Article
Bailey, N., Hibberd, S., Tretyakov, M., & Power, H. (2019). Effect of random forcing on fluid lubricated bearing. IMA Journal of Applied Mathematics, 84(3), 632–649. https://doi.org/10.1093/imamat/hxz007

A model for a fluid lubricated bearing is derived for operation under conditions where external forces are subject to random fluctuations that may act to destabilise the bearing. The fluid flow through the bearing is described by a Reynolds equation... Read More about Effect of random forcing on fluid lubricated bearing.

Geometrical modelling of pulsed laser ablation of high performance metallic alloys (2019)
Journal Article
Cha, D., Axinte, D., & Billingham, J. (2019). Geometrical modelling of pulsed laser ablation of high performance metallic alloys. International Journal of Machine Tools and Manufacture, 141, 78-88. https://doi.org/10.1016/j.ijmachtools.2019.04.004

Modelling of Pulsed Laser Ablation (PLA) for the prediction of complex geometries has generally achieved limited success when aimed at large structures resulting from a high number of overlapped pulses, in particular for the ablation of metallic mate... Read More about Geometrical modelling of pulsed laser ablation of high performance metallic alloys.

Gorenstein Formats, Canonical and Calabi–Yau Threefolds (2019)
Journal Article
Brown, G., Kasprzyk, A., & Zhu, L. (2022). Gorenstein Formats, Canonical and Calabi–Yau Threefolds. Experimental Mathematics, 31(1), 146-164. https://doi.org/10.1080/10586458.2019.1592036

Gorenstein formats present the equations of regular canonical, Calabi–Yau and Fano varieties embedded by subcanonical divisors. We present a new algorithm for the enumeration of these formats based on orbifold Riemann-Roch and knapsack packing-type a... Read More about Gorenstein Formats, Canonical and Calabi–Yau Threefolds.